Colloquium on November 19, 2012Constantino TsallisCentro Brasileiro de Pesquisas Fisicas, Rio de Janeiro Nonadditive entropy and applications in natural, artificial and social complex system The celebrated BoltzmannGibbs entropy and statistical mechanics are based on hypothesis such as ergodicity and probabilistic (quasi) independence. What can be done when these simplifying hypothesis are not satisfied, which is indeed the case of many natural, artificial and social complex systems? The nonadditive entropy Sq and its associated nonextensive statistical mechanics generalize the standard BoltzmannGibbs theory, and provide a theoretical frame for approaching a wide class of such complex systems. Some basic concepts and some recent predictions, verifications and applications will be presented. BIBLIOGRAPHY: (i) C. Tsallis, Introduction to Nonextensive Statistical Mechanics  Approaching a Complex World (Springer, New York, 2009); (ii) C. Tsallis, Entropy, in Encyclopedia of Complexity and Systems Science, ed. R.A. Meyers (Springer, Berlin, 2009); (iii) J.S. Andrade Jr., G.F.T. da Silva, A.A. Moreira, F.D. Nobre and E.M.F. Curado, Phys. Rev. Lett. 105, 260601 (2010); (iv) F.D. Nobre, M.A.R. Monteiro and C. Tsallis, Phys. Rev. Lett 106, 140601 (2011); (v) http://tsallis.cat.cbpf.br/biblio.htm



